Theta functions and Barsotti-Tate groups

V. Cristante

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1980)

  • Volume: 7, Issue: 2, page 181-215
  • ISSN: 0391-173X

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Cristante, V.. "Theta functions and Barsotti-Tate groups." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.2 (1980): 181-215. <http://eudml.org/doc/83835>.

@article{Cristante1980,
author = {Cristante, V.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Barsotti-Tate groups; divisor on a abelian variety; Witt bivectors; Barsotti operators; group varieties; theta functions},
language = {eng},
number = {2},
pages = {181-215},
publisher = {Scuola normale superiore},
title = {Theta functions and Barsotti-Tate groups},
url = {http://eudml.org/doc/83835},
volume = {7},
year = {1980},
}

TY - JOUR
AU - Cristante, V.
TI - Theta functions and Barsotti-Tate groups
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1980
PB - Scuola normale superiore
VL - 7
IS - 2
SP - 181
EP - 215
LA - eng
KW - Barsotti-Tate groups; divisor on a abelian variety; Witt bivectors; Barsotti operators; group varieties; theta functions
UR - http://eudml.org/doc/83835
ER -

References

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  1. [θ] I. Barsotti, Considerazioni sulle funzioni theta, Symp. Math., 3 (1970), pp. 247-277. Zbl0194.52201
  2. [MA] I. Barsotti, Metodi analitici per varietà abeliane in caratteristica positiva. Capitoli 1, 2; Capitoli 3, 4; Capitolo 5; Capitolo 6; Capitolo 7, Ann. Scuola Norm. Sup. Pisa, 18 (1964), pp. 1-25; 19 (1965), pp. 277-330; 19 (1965), pp. 481-512; 20 (1966), pp. 101-137; 20 (1966), pp. 331-365. 
  3. [MC] I. Barsotti, Moduli canonici e gruppi analitici commutativi, Ann. Scuola Norm. Sup. Pisa, 13 (1959), pp. 303-372. Zbl0092.27203MR113887
  4. [1] I. Barsotti, A note on abelian varieties, Rend. Circ. Mat. Palermo, 2 (1953) pp. 236-257. Zbl0053.11401MR63692
  5. [2] I. Barsotti, Varietà abeliane su corpi p-adici, parte prima, Symp. Math., 1 (1968), pp. 109-173. Zbl0184.46503MR258841
  6. [3] I. Barsotti, Il teorema di dualità per le varietà abeliane ed altri risultati, Rend. Mat., 13 (1954), pp. 98-114. Zbl0058.37101MR66686
  7. [4] J.M. Fontaine, Groupes p-divisibles sur les corps locaux, Astérisque, 47-48, Société Mathématique de France (1977). Zbl0377.14009MR498610
  8. [5] G. Gerotto, Alcuni elementi di teoria degli ipercorpi, Ann. Mat. Pura Appl., 115 (1977), pp. 349-379. Zbl0385.14013MR476768
  9. [6] D. Mumford, Abelian varieties, Oxford Univ. Press, London, 1974. Zbl0326.14012MR282985
  10. [7] D. Mumford, On the equations defining abelian varieties, I, II, III, Invent. Math., 1 (1966), pp. 287-354; 3 (1967), pp. 75-135; 3 (1967), pp. 215-244. Zbl0219.14024MR204427
  11. [8] D. Mumford, Bi-extensions of formal groups, in Algebraic geometry, Tata Inst. F. R. Stud. in Math. n. 4, Oxford Univ. Press (1969), pp. 307-322. Zbl0216.33101MR257089
  12. [9] T. Oda, The first de Rham cohomology group and Dieudonné modules, Ann. Sci. École Norm. Sup., 2 (1969), pp. 63-135. Zbl0175.47901MR241435
  13. [10] I. Barsotti, Abelian varieties over fields of positive characteristic, Rend. Circ. Mat. Palermo, 5 (1956), pp. 1-25. Zbl0075.30103MR83181
  14. [11] I. Barsotti, Repartitions on abelian varieties, Illinois J. Math., 2 (1958), pp. 43-70. Zbl0091.33401MR103893

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